Engineering statistical transmutation of identical quantum particles

Abstract

A fundamental pillar of quantum mechanics concerns indistinguishable quantum particles. In three dimensions they may be classified into fermions or bosons, having, respectively, antisymmetric or symmetric wave functions under particle exchange. One of numerous manifestations of this quantum statistics is the tendency of fermions (bosons) to anti-bunch (bunch). In a two-particle scattering experiment with two possible outgoing channels, the probability of the two particles to arrive each at a different terminal is enhanced (with respect to classical particles) for fermions, and reduced for bosons. Here we show that by entangling the particles with an external degree of freedom, we can engineer quantum statistical transmutation, e.g. causing fermions to bunch. Our analysis may have consequences on the observed fractional statistics of anyons, including non-Abelian statistics, with serious implications on quantum computing operations in the presence of external degrees of freedom.

References in corpus (15)

• Shot Noise in Mesoscopic Conductors
• An On-Demand Coherent Single Electron Source
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
• Noise of Entangled Electrons: Bunching and Antibunching
• Current correlations of an on-demand electron source as an evidence of single particle emission
• Full Counting Statistics of a Superconducting Beam Splitter
• Chaotic dot-superconductor analog of the Hanbury Brown Twiss effect
• Two-particle non-local Aharonov-Bohm effect from two single-particle emitters
• Hanbury-Brown and Twiss interference of anyons
• The Hanbury Brown and Twiss Experiment with Fermions
• Shot noise and spin-orbit coherent control of entangled and spin polarized electrons
• Effective charges and statistical signatures in the noise of normal metal--superconductor junctions at arbitrary bias
• Hanbury Brown and Twiss Correlations in Quantum Hall Systems
• Hong-Ou-Mandel Interference with a Single Atom

Cited by in corpus (6)

• Evolution of many-body systems under ancilla quantum measurements
• Unrestricted electron bunching at the helical edge
• Localization, fractality, and ergodicity in a monitored qubit
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Optimal Thermalization under Indefinite Causal Order with Identical and Asymmetric Baths
• Quantum statistics and self-interference in extended colliders